Wave Motion

Papers
(The median citation count of Wave Motion is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-11-01 to 2025-11-01.)
ArticleCitations
A new hierarchical control for the wave equation52
Numerical scheme for the generalised Serre–Green–Naghdi model41
Integrability, and stability aspects for the non-autonomous perturbed Gardner KP equation: Solitons, breathers, 37
Experimental study on insertion loss of air bubble layer in freestream flow37
The asymptotic analysis to multi-breather solutions of the nonlocal space-shifted nonlinear Schrödinger equation on continuous and spatial periodic backgrounds34
Two-colour soliton interactions in nematic liquid crystals with temperature-dependent reorientational response34
Impact of directional spreading on nonlinear KdV-soliton spectra in intermediate water33
Water wave interactions with surface-piercing vertical barriers in a rectangular tank: Connections with Bloch waves and quasimodes32
A modified approach to wavemaker modeling for high-order spectral numerical wave tanks30
On the nonlocal matrix Hirota equation with complex parity symmetry: Integrability, Darboux transformation and exact solutions29
Inversion of circumferential elastic waves for characterization of concrete pipes27
Riemann–Hilbert problem for a (3+1)-dimensional nonlinear evolution equation27
Guided modes of helical waveguides26
A closed form expression for the resonance frequencies of an unbaffled simply-supported rectangular water-loaded plate24
Numerical investigation into acoustic wave propagation in felt-type material with band gap and negative group velocity23
Oblique wave propagation over uneven flexible base in a fluid having free-surface tension22
Nonlinear dispersive waves in fluids and solids20
High frequency homogenization for a one-dimensional acoustic black hole lattice20
Transmission properties of Kolakoski aperiodic phononic crystals17
Hybrid finite difference WENO schemes for the ten-moment Gaussian closure equations with source term17
A petal–cylindrical seismic metamaterial occupying low-frequency wide bandgaps in horizontally stratified soils17
Multiresolution finite wavelet domain method for efficient modeling of guided waves in composite beams17
A gradient reproducing kernel based stabilized collocation method for the 5th order Korteweg–de Vries equations16
Modulation instability gain and wave patterns in birefringent fibers induced by coupled nonlinear Schrödinger equation16
Numerical study of guided waves in random anisotropic elastic cylinders immersed in fluids16
Influence of slippage on thermocapillary flow induced by a Gaussian temperature distribution on small-scale water droplets driven by surface acoustic waves15
Waves generated by moving loads on ice plates: Viscoelastic approximations14
On the generation of optical third-harmonic through quasi-phase-matching in quadratic nonlinear crystals14
Velocity and energy of periodic travelling interfacial waves between two bounded fluids14
Existence of traveling wave solutions for a generalized Burgers–Fisher equation with weak convection14
Soliton-like waves in the coastal zone of the eastern coast of Sakhalin Island13
Spiral waves and localized modes in dispersive wave equations13
Integrated Chebyshev wavelets for numerical solution of nonlinear one-dimensional and two-dimensional Rosenau equations13
Nonlinear concentric water waves of moderate amplitude13
Localization of low-velocity impact in CFRP plate using time–frequency features of guided wave and convolutional neural network13
Nonlinear acoustic radiation induced by in-plane vibration of hyperelastic rubber-like plates subject to dynamic loads13
Soliton generation and conservation laws for vector light pulses propagating in weakly birefringent waveguides13
On peridynamic acoustics12
Polynomial chaos expansion vs. Monte Carlo simulation in a stochastic analysis of wave propagation12
Dynamics and interactions of bound-state Solitons for a coupled Hirota system with negative coherent coupling12
Improved prediction of the front runner in roll waves produced by localized disturbance11
Scorer beams in highly nonlocal media with a nonlinearity coefficient and an external potential11
Analysis of the propagation of small-amplitude waves in nonlinear elastic solids for problems with infinitesimal strains11
Some personal reflections on acoustic metamaterials11
Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method11
Visualization of a shock wave travelling inside a rectangular duct using the background-oriented schlieren method11
N-(soliton, breather) interactions for general multi-component thir11
High-order Absorbing Boundary Condition, Domain Decomposition Method and Stratified Dispersive Wave Model11
Time dependent wave propagation in waveguides with rectangular scattering regions10
Numerical treatment of the Sine-Gordon equations via a new DQM based on cubic unified and extended trigonometric B-spline functions10
Elastodynamic multiple scattering: Effective wavenumbers in three-dimensional elastic media10
Modulation instability, higher-order rogue waves and dynamics of the Gerdjikov–Ivanov equation10
Green’s function analysis of shear wave propagation in heterogeneous poroelastic sandwiched layer influenced by an impulsive source10
The local meshless collocation method for numerical simulation of shallow water waves based on generalized equal width (GEW) equation10
Physics-informed machine learning for the inverse design of wave scattering clusters10
Thermal solitons in nanotubes10
Generalised eigenfunction expansion and singularity expansion methods for canonical time-domain wave scattering problems10
Riemann–Hilbert approach and N-soliton solutions for a negative matri10
An integrated study of wave attenuation by vegetation10
N-soliton solutions for the novel Kundu-nonlinear Schrödinger equation and Riemann–Hilbert approach9
Rogue waves on the periodic background for a higher-order nonlinear Schrödinger–Maxwell–Bloch system9
Compact bright pulse in inhomogeneous and nonlinear medium: Case of the Bose–Einstein Condensate9
Transformation design of in-plane elastic cylindrical cloaks, concentrators and lenses9
Discontinuous initial value and Whitham modulation for the generalized Gerdjikov-Ivanov equation9
Fast magnetosonic solitonic structures in a quasi-neutral collision-free finite-beta plasma9
Topology-optimized reflection-type pentamode metasurfaces for broadband underwater beam regulation9
Darboux transformations for the multicomponent vector solitons and rogue waves of the multiple coupled Kundu–Eckhaus equations9
Analytical modeling of evanescent coupling in metasurface absorbers for enhanced low-frequency sound control9
Integration of the periodic Harry Dym equation with a source9
On the evolution of complex signals and structures in media without dispersion9
Parametric analysis of bandgaps in a general metachiral lattice using discrete dynamical analysis8
One-dimensional acoustic waves in air/water mixtures8
Ultralow-frequency band gap in a quasi-zero-stiffness multi-resonator periodic hybrid structure8
Coupling mechanism of highly nonlinear solitary waves with hyperelastic materials8
Localized wave solutions and mixed interaction structures in the AB system8
Higher-order rogue wave solutions of the (2+1)-dimensional Fokas–Lenells equation8
The breather, breather-positon, rogue wave for the reverse space–time nonlocal short pulse equation in nonzero background8
N-soliton solutions of four-wave mixing coupled Schrödinger equations8
Effect of homogeneous coated layer on periodic barrier for Rayleigh wave isolation8
The electromomentum effect in piezoelectric Willis scatterers7
Numerical investigations of deep learning-assisted delamination characterization using ultrasonic guided waves7
Willis elasticity from microcontinuum field theories: Asymptotics, microstructure-property relationships, and cloaking7
Detecting high-order rogue waves in two-component Bose–Einstein condensates via a convolutional neural network-based framework7
Dispersive behavior of SH waves in a smart composite structure of viscoelastic media7
A (2+1) -dimensional evolution model of Rossby waves and its resonance Y-type soliton and interaction solutions7
From snaking to isolas: A one-active-site approximation in discrete optical cavities7
Longitudinal wave propagation in a practical metamaterial lattice7
How transition between sea water and liquid carbon dioxide affects its sequestration in deep oceans7
Spectral properties of Fluid Structure Interaction pressure/stress waves in liquid filled pipes7
Modulational instability and position controllable discrete rogue waves with interaction phenomena in the semi-discrete complex coupled dispersionless system7
Investigation of shear wave propagation in two-dimensional systems with Lorentzian-correlated disorder7
Cauchy–Poisson problem in a homogeneous liquid layer over a magnetoelastic half-space7
Acoustic axes conditions revised7
Flow structure beneath periodic waves with constant vorticity under strong horizontal electric fields7
Local absorbing boundary conditions for the elastic wave equation7
Defect modes and localisation of quasi-Lamb waves along a sidewall of corrugated aluminium plates7
Time-dependent wave propagation on a variable Winkler foundation with compression7
Highly localized horseshoe ripplons and solitons in positive dispersion media7
On the effective medium model of the interaction of Rayleigh waves with mass–spring oscillators on the surface7
Wave resonances and the time-dependent capillary gravity wave motion7
A study of periodic solutions and periodic background solutions for the reverse-space–time modified nonlinear Schrödinger equation7
Crossover from single to two-peak fundamental solitons in nonlocal nonlinear media7
Binary Darboux transformation, solitons, periodic waves and modulation instability for a nonlocal Lakshmanan–Porsezian–Daniel equation6
On reciprocity, orthogonality and bi-orthogonality relations for non-symmetric waveguides: An elastic plate loaded by a fluid layer with uniform mean flow6
Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation6
Navigating the Hilbert space of elastic bell states in driven coupled waveguides6
Data-driven identification of the spectral operator in AKNS Lax pairs using conserved quantities6
Laser Doppler Interferometry as a receiver of the ultrasonic waves: An experimental study on Gosford sandstone6
Time scales of a low order harmonic resonance of short-crested gravity waves on deep water6
Rogue waves of the Kraenkel–Manna–Merle system on a periodic background6
Evolution of nonlinear waves with heterogeneous damping and forcing6
Comparative analysis of bore propagation over long distances using conventional linear and KdV-based nonlinear Fourier transform6
Acoustic radiation torque of a cylindrical quasi-Gauss beam on a viscoelastic cylindrical shell near an impedance boundary6
Scattering of an Ostrovsky wave packet in a delaminated waveguide6
Exact solutions and Darboux transformation for the reverse space–time nonlocal Lakshmanan–Porsezian–Daniel equation6
Bilinear form, bilinear auto-Bäcklund transformation, soliton and half-periodic kink solutions on the non-zero background of a (3+1)-dimensional time-dependent-coefficient Boiti-Leon-Manna-Pempinelli 6
Longitudinal and transverse coherent waves in media containing randomly distributed spheres6
Thin-layer solutions to the Helmholtz equation in three dimensions6
A simple model of radiating solitary waves6
Dual-tuning mechanism for elastic wave transmission in a triatomic lattice with string stiffening6
Bragg scattering of surface gravity waves by an array of submerged breakwaters and a floating dock5
Higher-order breather and interaction solutions to the (35
Lump wave solutions, lump-stripe soliton inelastic collision phenomena and rogue-type wave solutions for a generalized breaking soliton system in (3+1)-dimensions5
Combined harmonic generation of feature guided waves mixing in a welded joint5
Energy velocity of elastic guided waves in immersed plates for complex frequencies and slownesses5
The effect of compressed ice-shelf on acoustic-gravity wave propagation in a compressible ocean having elastic bottom5
Solitons, breathers and rogue waves of the Yajima–Oikawa-Newell long wave–short wave system5
Multi-parametric solutions to the functional difference KdV equation5
Novel solitary patterns in a class of regularized Gardner equations5
On a variable-coefficient AB system in a baroclinic flow: Generalized Darboux transformation and non-autonomous localized waves5
Rogue waves, modulation instability of the (2+1)-dimensional complex modified Korteweg-de Vries equation on the periodic background5
A time-domain spectral finite element method for acoustoelasticity: Modeling the effect of mechanical loading on guided wave propagation5
Bright and dark breathers of the Benjamin–Ono equation on the traveling periodic background5
Waves in the cochlea and in acoustic rainbow sensors5
Nonlinear incompressible shear wave models in hyperelasticity and viscoelasticity frameworks, with applications to Love waves5
The Helmholtz problem in slowly varying waveguides at locally resonant frequencies5
Mode conversions and intersections of Lamb waves in one-dimensional hexagonal piezoelectric quasicrystal nanoplates based on the integral nonlocal theory5
Constitutive modelling and wave propagation through a class of anisotropic elastic metamaterials with local rotation4
On essential nonlinearities emerging from linear systems4
Representing rogue waves in minimal form4
Singular twist waves in chromonic liquid crystals4
Generation of harmonics and degenerate parametric interaction of longitudinal acoustic waves in solids with quadratically-bimodular nonlinearity4
Study of the acoustic scattering characteristics of a rigid sphere in a vortex acoustic field4
Deterministic and stochastic theory for a resonant triad4
A framework for computing directivities for ultrasonic sources in generally anisotropic, multi-layered media4
Symmetry-induced quasicrystalline waveguides4
Elastic coupled phase theory based on the Cosserat equations: Propagation of coherent waves4
A weakly nonlinear wave equation for damped acoustic waves with thermodynamic non-equilibrium effects4
Floquet scattering of shallow water waves by a vertically oscillating plate4
Nonlinear waves in pantographic beams induced by transverse impulses4
A wave finite element approach for the vibroacoustic analysis of fluid-filled pipes with joints and defects4
Discrimination between weak adhesion, delamination and kissing bond at the interfaces of composite bonded assemblies4
Weak localization in radiative transfer of acoustic waves in a randomly-fluctuating slab4
On the proximity of Ablowitz–Ladik and discrete nonlinear Schrödinger models: A theoretical and numerical study of Kuznetsov-Ma solutions4
The mechanism of energy accumulation in dynamic pulses traveling through checkerboard material assembly in space-time4
Fast design of non-uniform acoustic waveguides with prescribed eigenfrequencies4
Numerical investigations for micro-crack evaluation and localization in pipelines using nonlinear ultrasonic guided wave combining deep learning4
Morphology influence on the acoustic properties of permeo-elastic media4
Axisymmetric longitudinal waves in a cylindrical shell interacting with a nonlinear elastic medium4
Planar Lorentz invariant velocities with a wave equation application4
Bucking and free vibration characteristics of smart hybrid sandwich plate via spatial state-space approach4
On the scattering and radiation of water waves by a finite dock floating over a rectangular trench4
Nonlinear localized waves and their interactions for a (2+1)-dimensional extended Bogoyavlenskii-Kadomtsev-Petviashvili equation in a fluid4
Surface velocity reconstruction of a vibrating structure based on dictionary learning and sparse sampling4
Elastic P-wave manipulation utilizing functionally graded parallel plate gradient refractive index structures4
Well-posed boundary conditions and energy stable discontinuous Galerkin spectral element method for the linearized Serre equations4
Full reconstruction of acoustic wavefields by means of pointwise measurements4
Analysis of the band gap characteristics of a new type of three-dimensional single phase phononic crystal4
Correction in the continuity conditions for beams with structure governed by the Timoshenko–Ehrenfest equation4
Hybrid rogue wave and breather solutions for the nonlinear coupled dispersionless evolution equations4
Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets4
Interfacial wave between acoustic media with Willis coupling4
Time-lapse global inversion for surface-waves: A differential approach using a linear approximation of the Rayleigh wave phase velocity4
Shear shock formation in incompressible viscoelastic solids4
Riemann problem for polychromatic soliton gases: A testbed for the spectral kinetic theory4
Physics-based modeling of sea clutter phenomenon by a full-wave numerical solver4
Classical and Lagrangian mechanics in ray tracing: An optimizable framework for inhomogeneous media4
Barycentric Lagrange interpolation collocation method for solving the Sine–Gordon equation4
A numerical study on the penetrability and directivity of the difference-frequency component beam in bubbly liquids obtained via parametric acoustic array4
Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects4
The multi-soliton solutions of another two-component Camassa–Holm equation with Darboux transformation approach4
The massive Thirring model in Bragg grating: Soliton molecules, breather-positon and semirational solutions3
Determinantal solutions to the (3+1)-dimensional Painlevé-type evolution equation: Higher-order rogue and soliton waves3
Numerical and dynamical behaviors of nonlinear traveling wave solutions of the Kudryashov–Sinelshchikov equation3
Shock structure solutions of Grad 13-moment equations for binary gas mixtures3
Optical fibers with a frequency-dependent Kerr nonlinearity: Theory and applications3
Solitary wave solutions and their limits to the fractional Schrödinger system3
Patterns of rational solutions in a split-ring-resonator-based left-handed coplanar waveguide3
Quasiperiodic-to-soliton conversions and their mechanisms of the (3
Nonlinear waves and transitions mechanisms for (2+1)-dimensional Korteweg–de Vries-Sawada-Kotera-Ramani equation3
Fully explicit numerical scheme for linearized wave propagation in nearly-incompressible soft hyperelastic solids3
Experimental demonstration of Willis coupling for elastic torsional waves3
Non-autonomous positon and breather molecule for the variable-coefficient Kundu-nonlinear Schrödinger equation3
Hamiltonian model for water waves in a triangular domain3
Forced vibrations of a rolling tyre3
Time-dependent modelling of a circular ice shelf3
Investigating Rayleigh wave anisotropy in faulted media with three-component beamforming: Insights from numerical models and applications for geothermal exploration3
Riemann–Hilbert approach for the inhomogeneous discrete nonlinear Schrödinger equation with nonzero boundary conditions3
Solitons, dispersive shock waves and Noel Frederick Smyth3
Low-frequency sub-Bragg phenomena in multilayered vibroacoustic metamaterials3
Assessment of a technique for faster time integration in application to seismic wave propagation analysis3
Surface acoustic waves in laterally periodic superlattices3
Analytical investigation of free vibration analysis in functionally graded graphene platelet-reinforced composite beams3
Acoustic-gravity waves in quasi-isothermal atmospheres with a random vertical temperature profile3
Viscoacoustic Gaussian beam inverse scattering imaging method by asymptotic estimation of the single-scattering Hessian operator3
Scattering of elastic waves by a transversely isotropic sphere and ultrasonic attenuation in hexagonal polycrystalline materials3
Effect of damage on Rayleigh wave propagation in second gradient lattice materials3
Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements3
The solution to the Lamb–Danilovskaya problem and analysis of waves in a thermo-viscoelastic medium with memory3
Addendum to “Poroacoustic solitary waves under the unidirectional Darcy–Jordan model” [Wave Motion 94 (2020) 102498]3
Erratum: “Transformation of phase velocity among inertial frames” [Wave Motion 50 (2013) 520-524]3
Ultrasonic field estimation for random P -and S-wavenumbers in isotropic solids using DPSM3
On the Quartic Korteweg–de Vries hierarchy of nonlinear Rossby waves and its dynamics3
The natural frequencies of AISI 316 stainless steel and analytical simulation of a Lamb wave excited by a point source3
Evolutionary equations of a sharing-bicycle system and their solutions3
Numerical and experimental investigations on wave transmission reduction using vegetation models3
Solutions on the periodic background and transition state mechanisms for the higher-order Chen–Lee–Liu equation3
The effect of different edge conditions on the motion of a submerged elastic disc3
Vibration control of functionally graded composite annular plates reinforced with graphene origami-enabled auxetic metamaterials with piezoelectric layers3
Dynamics of localized waves and interactions in a (23
Rogue periodic waves of the short pulse equation and the coupled integrable dispersionless equation3
Integrable generalization of the modified Camassa–Holm equation in 23
Binary Darboux transformation and localized wave solutions for the extended reverse-time nonlocal nonlinear Schrödinger equation3
Unstable dynamics of solitary traveling waves in a lattice with long-range interactions3
An analytical approach for the analysis of stress wave transmission and reflection in waveguide systems based on Timoshenko beam theory2
Study on the influence of flow on parametric acoustic array modal response in surface fluctuation waveguides2
Wigner measures of electromagnetic waves in heterogeneous bianisotropic media2
Detection of surface defects based on the optimized scanning laser source method2
Discrete solutions and interaction dynamics for coupled nonlocal discrete nonlinear Schrödinger equations in an inhomogeneous optical fiber2
Trapped modes and resonances for thin horizontal cylinders in a two-layer fluid2
Breathers, rogue waves and breather–rogue waves on a periodic background for the modified nonlinear Schrödinger equation2
Study of lamb wave hybrid imaging technology in high noise environments2
Data-driven modeling of two-dimensional detonation wave fronts2
Fully conservative difference schemes for the rotation-two-component Camassa–Holm system with smooth/nonsmooth initial data2
A 2D frequency domain finite element formulation for solving the wave equation in the presence of rotating obstacles2
Rational solutions to the KPI equation from particular polynomials2
Breather arrest in a chain of damped oscillators with Hertzian contact2
On the full dispersion Kadomtsev–Petviashvili equations for dispersive elastic waves2
Wide range of wave attenuation in beam-supported stepped hybrid phononic crystals2
Manipulation of acoustic wave scattering from cylindrical shells using a coating of FG magneto-electro-elastic composite materials: Active acoustic cloaking2
Domain decomposition method based on One-Way approaches for sound propagation in a partially lined duct2
An arbitrary Lagrangian–Eulerian method for analyzing finite-amplitude viscous acoustic waves radiated from vibrational solid boundaries: An implicit method2
One-way collinear wave mixing in solids with cubic nonlinearity based on Murnaghan’s potential2
Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems2
Quasi-Grammian solutions of the coupled Gerdjikov–Ivanov equation2
Generation of double Sasa-Satsuma, double Kuznetsov-Ma and other exotic solutions of cubic-quintic Ginzburg-Landau equation in a left-handed material2
Influence of right-angled elbows on the modal response of labyrinthine meta-materials2
Scaling of waves between monotone slopes2
Formation and evolution of roll waves in a shallow free surface flow of a power-law fluid down an inclined plane2
Scattering of water waves by multiple rows of vertical thin barriers2
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